Question Detail
Question
Calculate the total resistance between the points A and B, given the following components:
Circuit A: A 4 ohm resistor in series with a parallel combination of a 1 ohm resistor and a 2 ohm resistor.
Circuit B: A 3 ohm resistor.
Assume Circuit A and Circuit B are connected in series to form the complete circuit between points A and B.
Circuit A: A 4 ohm resistor in series with a parallel combination of a 1 ohm resistor and a 2 ohm resistor.
Circuit B: A 3 ohm resistor.
Assume Circuit A and Circuit B are connected in series to form the complete circuit between points A and B.
Correct Answer
Option C is the correct answer.
Detailed Explanation
For Circuit A: The 1 ohm and 2 ohm resistors are in parallel.Rp = (R1 * R2) / (R1 + R2) = (1 * 2) / (1 + 2) = 2/3 ohms ≈ 0.67 ohms.This parallel combination is in series with the 4 ohm resistor.RA = 4 ohms + 2/3 ohms = 14/3 ohms.Assuming Circuit A and Circuit B are connected in series to find the total resistance between points A and B:Rtotal = RA + RB = 14/3 ohms + 3 ohms = (14 + 9)/3 ohms = 23/3 ohms ≈ 7.67 ohms.
Hint
First, find the equivalent resistance of the parallel resistors, then add all series resistances.